SOLUTION: 5^2x+1+5^2x-3+5^2x-4=155/625

Question 198965: 5^2x+1+5^2x-3+5^2x-4=155/625
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
5^2x+1+5^2x-3+5^2x-4=155/625
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Multiply thru by 5^4 to get:
5^(2x+5) + 5^(2x+1) + 5^(2x) = 155
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Factor out 5^(2x) to get:
5^(2x)[5^5 + 5^1 + 1] = 155
5^(2x)[3125+6] = 155
5^2x = 155/3131
Take the log of both sides
2x(log(5) = log(155)-log(3131)
2x = -1.30535/0.69897
x = -0.9339..
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Cheers,
Stan H.
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